Generalized inverses and the maximal radius of regularity of a Fredholm operator

Details Generalized inverses and the maximal radius of regularity of a Fredholm operator Generalized inverses and the maximal radius of regularity of a Fredholm operator

1996-12-19

arxiv.org/abs/funct-an/9612007v1

Mathematics

Functional Analysis

LaTeX, 14 pages, to appear in Integral Equations and Operator Theory

Scientific paper

Operators possessing analytic generalized inverses satisfying the resolvent
identity are studied. Several characterizations and necessary conditions are
obtained. The maximal radius of regularity for a Fredholm operator T is
computed in terms of the spectral radius of a generalized inverse of T. This
provides a partial answer to a conjecture of J. Zem\'anek.

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